AI generatedStatisticsKS3 / GCSE

Finding the total from one known pie-chart sector

Finding the total from one known pie-chart sector.

  • A whole circle is 360°. Each sector represents the same fraction of the angle total and frequency total.
  • Angle = frequency ÷ total × 360. Frequency = angle ÷ 360 × total.
  • If one sector has both values, use it to recover the total. Check completed frequencies and angles add correctly.

Example 1

Sector A represents 8 students and has angle 60°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 8 students at 60°
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.

Example 2

Sector A represents 15 students and has angle 75°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 15 students at 75°
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.

Your turn

Question 1

Sector A represents 16 students and has angle 60°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 16 students at 60°
Check answer
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.
Question 2

Sector A represents 25 students and has angle 75°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 25 students at 75°
Check answer
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.
Question 3

Sector A represents 24 students and has angle 60°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 24 students at 60°
Check answer
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.
Question 4

Sector A represents 35 students and has angle 75°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 35 students at 75°
Check answer
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.
Question 5

Sector A represents 32 students and has angle 60°. How many students are represented by the whole chart?

Pie chartABCDOne sector: 32 students at 60°
Check answer
Students per degreeUse the one row containing both a frequency and an angle.
Total frequencyScale from the known sector to the full 360°.
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